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Describe the motion of an object when displacement of the particle is zero at t=0s and its displacement is given by the equation
Assume that you are an entrepreneur of a hotel. what are the fixed and variable costs to be carried out in the business?
a. Draw the Edgeworth box diagram that represents the possibilities for exchange in this situation. What is the only exchange ratio that can prevail in any equilibrium?
b. Suppose Smith initially had 40H and 80C. What would the equilibrium position be?
c. Suppose Smith initially had 60H and 80C. What would the equilibrium position be?
d. Suppose Smith (much the stronger of the two) decides not to play by the rules of the game. Then what could the final equilibrium position be?
What is the instantaneous acceleration at t = 2.1 s of a particle whose position is given by y(t) = -4.1t2 + 6.7?
1. Are these statements true, false, or uncertain? Justify.
- The stochastic error term ui and the residual term ei mean the same thing.
- The Population Regression Function (PRF) gives the value of the dependent variable corresponding to each value of the independent variable.
- A linear regression model means a model linear in the variables.
- In the linear regression model, the explanatory variable is the cause and the dependent variable is the effect.
- The conditional and the unconditional mean of the random variable are the same thing.
- The regression coefficients, the bs, are random variables, whereas the s are the parameters.
- The slope coefficient in a simple regression model measures the slope of Y per unit change in X.
- In practice, the two-variable regression model is useless because the behavior of a dependent variable can never be explained by a single explanatory variable.
- The sum of the deviation of a random variable from its mean value is always zero.
Raffles Bank pays 4% simple interest on its deposit account, whereas Bugis Bank pays interest on its deposit account compounded monthly. Formulate the quoted and effective interest rates that Bugis Bank should set if it wants to match Raffles Bank, assuming a 5-years horizon period
1. Andrew has a constant elasticity of substitution (CES) utility function,
U(x1, x2) = where and
Determine Andrew’s optimal bundle (x1, x2) in terms of his income m and prices of the two goods, p1 and p2.
2. Lynn has a Cobb-Douglas utility function
U(x1, x2) =
What share of her budget does she spend on x1 (recorded music tracks) and x2 (live music) in terms of her income m = $30, prices of the two goods, p1 = $0.5 and p2= $1?
3. Celine’s quasilinear utility function is
Her budget for these two goods is $10. Originally the prices are p1 = p2 = $1. However, the price of the first good rises to $2. Determine the substitution, income and total effect of this price change on the demand for x1.
#339914 on Dec 2023